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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 3    
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scirp IJSER >> Volume 1, Issue 3, December 2010
General Pseudoadditivity of Kapur's Entropy Prescribed by the Existence of Equilibrium
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Priti Gupta, Vijay Kumar
Entropy, Kapur’s Entropy, Pseudo-additivity
In this paper, the concept of composibility of the total channel capacity of the system of channels composed of two independent subsystems of channel is discussed. This system of channels is a function of entropies of the subsystems. Here, we show that the generalized entropies, the Tsalli's entropy, the normalized Tsalli's entropy and the Kapur's entropy are compatible with the composition law and defined consistently with the condition of equilibrium and satisfies pseudo additivity.
[1] A. Renyi’s, 1961, On measures of entropy and information, Pro ceeding of 4th Berkeley Symposium on Mathematical statistics and Probability, Vol. 1, pp. 547-561.

[2] B. Lesche, 1982, Journal of Statistical Physics, 27, 419.

[3] C. E Shannon, 1948, The Mathematical Theory of Commu nication, Bell’s systems Tech. Journal, 27, pp. 279-423.

[4] C. Tsallis, Non-extensive Statistical Mechanics and Ther m ody namics, Historical Background and Present Status. In: A b e , S., Okamoto, Y. (eds.) Nonextensive Statistical Mechanics and Its Applications, Springer-Verlag Heidelberg, 2001.

[5] C. Tsallis, 1988, Possible generalization of Boltzmann-Gibbs sta tistics, Journal of Statistical Physics, 52, pp. 479-487.

[6] J. N. Kapur, H. K. Kesavan, Entropy optimisation Principles with Applications, Academic Press, Boston,1994.

[7] J.N Kapur, 1967, Generalization entropy of order 􀇂 and type 􀇃, The mathematical seminar, 4 ,pp. 78-84.

[8] P.T. Landsberg, V. Vedral, 1998, Physics Letters A 247, 211.

[9] S. Abe, 2001, General pseudoadditivity of composable entropy p rescribed by the existence of equilibrium, Physics Review E 63, 061105.

[10] S. Abe, 1997, Physics Letters A 224, 326.

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